Mister Exam
Least common denominator x-8/x2/x-8/x2+7*x
The solution
You have entered
[src]
/8 \
|--|
\x2/ 8
x - ---- - -- + 7*x
x x2
$$7 x + \left(\left(x - \frac{8 \frac{1}{x_{2}}}{x}\right) - \frac{8}{x_{2}}\right)$$
x - 8/x2/x - 8/x2 + 7*x
General simplification
[src]
8 8 - -- + 8*x - ---- x2 x*x2
$$8 x - \frac{8}{x_{2}} - \frac{8}{x x_{2}}$$
-8/x2 + 8*x - 8/(x*x2)
Assemble expression
[src]
8
-8 - -
x
8*x + ------
x2
$$8 x + \frac{-8 - \frac{8}{x}}{x_{2}}$$
8 8 - -- + 8*x - ---- x2 x*x2
$$8 x - \frac{8}{x_{2}} - \frac{8}{x x_{2}}$$
-8/x2 + 8*x - 8/(x*x2)
Rational denominator
[src]
/ 2\ 2 2
x2*\-8 + x2*x / - 8*x*x2 + 7*x *x2
-----------------------------------
2
x*x2
$$\frac{7 x^{2} x_{2}^{2} - 8 x x_{2} + x_{2} \left(x^{2} x_{2} - 8\right)}{x x_{2}^{2}}$$
(x2*(-8 + x2*x^2) - 8*x*x2 + 7*x^2*x2^2)/(x*x2^2)
Combining rational expressions
[src]
/ 2\
8*\-1 - x + x2*x /
------------------
x*x2
$$\frac{8 \left(x^{2} x_{2} - x - 1\right)}{x x_{2}}$$
8*(-1 - x + x2*x^2)/(x*x2)
Powers
[src]
8 8 - -- + 8*x - ---- x2 x*x2
$$8 x - \frac{8}{x_{2}} - \frac{8}{x x_{2}}$$
-8/x2 + 8*x - 8/(x*x2)
Combinatorics
[src]
/ 2\
8*\-1 - x + x2*x /
------------------
x*x2
$$\frac{8 \left(x^{2} x_{2} - x - 1\right)}{x x_{2}}$$
8*(-1 - x + x2*x^2)/(x*x2)
Trigonometric part
[src]
8 8 - -- + 8*x - ---- x2 x*x2
$$8 x - \frac{8}{x_{2}} - \frac{8}{x x_{2}}$$
-8/x2 + 8*x - 8/(x*x2)
Common denominator
[src]
8 + 8*x
8*x - -------
x*x2
$$8 x - \frac{8 x + 8}{x x_{2}}$$
8*x - (8 + 8*x)/(x*x2)